Consider the following statements in respect of two integers p and q both gt 1 which are relatively ...........

Quantitative Aptitude (CDS) Number System

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Consider the following statements in respect of two integers p and q (both > 1) which are relatively

prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3 only

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Explanation:

All the given statements are true. The following are the examples for all the statements
Statement 1: Both p and q may be prime numbers. E.g. 3 and 5
Statement 2 : Both p and q may be composite numbers. E.g. 4 and 9
Statement 3 : One of p and q may be prime and the other composite. E.g. 7 and 12